2 × 3² × 7 × 11 × 29

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 112,320

Proper Divisor Sum 72,126

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40193 ← → #40213

Radix Representation

Decimal	40194
Binary	1001110100000010 (16 bits)
Octal	0o116402
Hexadecimal	0x9D02

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1,218 1,386 1,827 1,914 2,233 2,871 3,654 4,466 5,742 6,699 13,398 20,097 40,194

Collatz Trajectory (93 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,194 20,097 60,292 30,146 15,073 45,220 22,610 11,305 33,916 16,958 8,479 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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